Directions (1 – 5): Study the information carefully to answer the questions that follow:
A school consisting of a total of 1560 students has boys and girls in the ratio of 7 : 5 respectively. All the students are enrolled in different types of hobby classes. viz: Singing, Dancing and Painting. One fifth of the boys are enrolled in only Dancing classes. Twenty percent of the girls are enrolled in only Painting classes. Ten percent of the boys are enrolled in only Singing classes. Twenty four percent of the girls are enrolled in both Singing and Dancing Classes together. The number of girls enrolled in only Singing classes is two hundredth percent of the boys enrolled in the same. One thirteenth of the boys are enrolled in all the three classes together. The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 : 1 respectively. Ten percent of the girls are enrolled in only Dancing classes whereas eight percent of the girls are enrolled in both Dancing and Painting classes together. The remaining girls are enrolled in all the three classes together. The number of boys enrolled in Singing and Dancing Classes together is fifty percent of the number of girls enrolled in the same. The remaining boys are enrolled in only Painting classes.
1. What is the total number of boys who are enrolled in Dancing?
(a) 318
(b) 364
(c) 292
(d) 434
(e) None of these
2. Total number of girls enrolled in Singing is approximately what percent of the total number of students in the school?
(a) 37
(b) 19 (c) 32
(d) 14 (e) 26
3. What is the total number of students enrolled in all the three classes together?
(a) 135
(b) 164
(c) 187
(d) 142
(e) None of these
4. Number of girls enrolled in only Dancing classes is what percent of the boys enrolled in the same? (rounded off to two digits after decimal)
(a) 38.67
(b) 35.71
(c) 41.83
(d) 28.62
(e) None of these
5. What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same?
(a) 77 : 28
(b) 21 : 73
(c) 26 : 77
(d) 73 : 21
(e) None of these
Answers:
1–d
2–e
3–a
4–b
5–c
